What is (12a^9(-4)^2b^4)/(4a^3(-4)b^2) ?

The solution to (12a^9(-4)^2b^4)/(4a^3(-4)b^2) is -12a^6b^2

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simplify (12a^9(-4)^2b^4)/(4a^3(-4)b^2)

simplify

\frac{12 a ^{9} ( - 4 ) ^{2} b ^{4}}{4 a ^{3} ( - 4 ) b ^{2}}

- 12 a^{6} b^{2}

Solution steps

\frac{12 a ^{9} ( - 4 ) ^{2} b ^{4}}{4 a ^{3} ( - 4 ) b ^{2}}

Simplify

4 a^{3} (- 4) b^{2} : - 4 \cdot 4 a^{3} b^{2}

= \frac{12 a ^{9} ( - 4 ) ^{2} b ^{4}}{- 4 \cdot 4 a ^{3} b ^{2}}

Factor the number:

12 = 4 \cdot 3

= \frac{4 \cdot 3 a ^{9} ( - 4 ) ^{2} b ^{4}}{- 4 \cdot 4 a ^{3} b ^{2}}

Cancel the common factor:

4

= \frac{3 a ^{9} ( - 4 ) ^{2} b ^{4}}{- 4 a ^{3} b ^{2}}

Simplify

\frac{a ^{9}}{a ^{3}} : a^{6}

= \frac{3 a ^{6} ( - 4 ) ^{2} b ^{4}}{- 4 b ^{2}}

Simplify

\frac{b ^{4}}{b ^{2}} : b^{2}

= \frac{3 a ^{6} ( - 4 ) ^{2} b ^{2}}{- 4}

\frac{( - 4 ) ^{2}}{- 4} = - 4

= 3 a^{6} (- 4) b^{2}

Multiply the numbers:

3 (- 4) = - 12

= - 12 a^{6} b^{2}

16 + 7

17 - 5

9 + 25

2 (6)

3 (2 x - 5)

What is (12a^9(-4)^2b^4)/(4a^3(-4)b^2) ?
The solution to (12a^9(-4)^2b^4)/(4a^3(-4)b^2) is -12a^6b^2